Greatest Common Factor of 3528/364, 3697/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3528/364, 3697/910

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3528/364,3697/910

Given fractions are 3528/364,3697/910

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3528,3697

Greatest Common Factor of Numerators i.e. GCF of 3528,3697 is 1 .

LCM of Denominators means LCM of 364,910 as per the given fractions.

LCM of 364,910 is 1820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3528,3697

GCF of Fractions 3528/364,3697/910 is 1/1820

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3528,3697 By Matching Biggest Common Factor Method

Greatest Common Factor of 3528,3697 By Matching Biggest Common Factor Method

Factors of 3528

List of positive integer factors of 3528 that divides 3528 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,49,56,63,72,84,98,126,147,168,196,252,294,392,441,504,588,882,1176,1764,3528

Factors of 3697

List of positive integer factors of 3697 that divides 3697 without a remainder.

1,3697

Greatest Common Factor

We found the factors 3528,3697 . The biggest common factor number is the GCF number.
So the greatest common factor 3528,3697 is 1.

Lets's calculate LCM of 364,910

2 364, 910
7 182, 455
13 26, 65
2, 5

∴ So the LCM of the given numbers is 2 x 7 x 13 x 2 x 5 = 1820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1820

Therefore, the GCF of Fractions 3528/364,3697/910 is 1/1820

Least Common Multiple of 364,910 with GCF Formula

Least Common Multiple of 364,910 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 364,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,910) = 182

common factors(in case of two or more numbers have common factors) = 1

GCF(364,910) x common factors =182 x 1 = 182

LCM(364,910) = ( 364 × 910 ) / 182

LCM(364,910) = 331240 / 182

LCM(364,910) = 1820


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3528/364, 3697/910

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3528/364, 3697/910?

Answer: GCF of Numerators as per given numbers 3528/364, 3697/910 is

GCF of Numerators i.e. for 3528,3697 is 1

LCM of denominators i.e. for 364,910 is 1820.

Thus, GCF of Fractions is 1/1820.Finally, GCF of Fractions for 3528/364, 3697/910 is 1/1820.